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MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING

Abstract: 

In this paper, we discuss the problem of modeling a graph signal on a directed graph when observing only partially the graph signal. The graph signal is recovered using a learned graph filter. The novelty is to use the random walk operator associated to an ergodic random walk on the graph, so as to define and learn a graph filter, expressed as a polynomial of this operator. Through the study of different cases, we show the efficiency of the signal modeling using the random walk operator compared to existing methods using the adjacency matrix or ignoring the directions in the graph.

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Paper Details

Authors:
Harry Sevi, Gabriel Rilling, Pierre Borgnat
Submitted On:
27 November 2018 - 9:53am
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Borgnat Pierre
Paper Code:
1413
Document Year:
2018
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Document Files

Borgnat_talk_GlobalSIP_2018.pdf

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[1] Harry Sevi, Gabriel Rilling, Pierre Borgnat, "MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3812. Accessed: Mar. 23, 2019.
@article{3812-18,
url = {http://sigport.org/3812},
author = {Harry Sevi; Gabriel Rilling; Pierre Borgnat },
publisher = {IEEE SigPort},
title = {MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING},
year = {2018} }
TY - EJOUR
T1 - MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING
AU - Harry Sevi; Gabriel Rilling; Pierre Borgnat
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3812
ER -
Harry Sevi, Gabriel Rilling, Pierre Borgnat. (2018). MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING. IEEE SigPort. http://sigport.org/3812
Harry Sevi, Gabriel Rilling, Pierre Borgnat, 2018. MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING. Available at: http://sigport.org/3812.
Harry Sevi, Gabriel Rilling, Pierre Borgnat. (2018). "MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING." Web.
1. Harry Sevi, Gabriel Rilling, Pierre Borgnat. MODELING SIGNALS OVER DIRECTED GRAPHS THROUGH FILTERING [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3812